Explanation
Given that,
Circumference of a circle $$=77\,m$$
We know that,
Circumference of a circle $$=2\pi r=77$$
$$ \Rightarrow 2\times \dfrac{22}{7}\times r=77 $$
$$ \Rightarrow r=\dfrac{77\times 7}{2\times 22} $$
$$ \Rightarrow r=\dfrac{49}{4} $$
Then, Area of circular park
$$ =\pi {{r}^{2}}=\dfrac{22}{7}\times \dfrac{49}{4}\times \dfrac{49}{4} $$
$$ \Rightarrow \dfrac{11\times 7\times 49}{2\times 4} $$
$$ \Rightarrow \dfrac{77\times 49}{8} $$
$$ \Rightarrow \dfrac{3773}{8}\,\,{{m}^{2}} $$
$$ or $$
$$ \Rightarrow 471.62\,{{m}^{2}} $$
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